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222-9+11+12:2*14+14 = ? ( )

Toán Lớp 12: Tính nguyên hàm: ` ∫(x^3)/(x+1)`

Toán Lớp 12: Tính nguyên hàm: ∫(x^3)/(x+1)

Comments ( 2 )

  1. $\displaystyle\int \dfrac{x^3}{x+1}dx$
    $=\displaystyle\int \dfrac{x^3+1-1}{x+1}dx$
    $=\displaystyle\int \dfrac{(x+1)(x^2-x+1)-1}{x+1}dx$
    $=\displaystyle\int \left( x^2-x+1-\dfrac{1}{x+1}\right)dx$
    $=\dfrac{1}{3}x^3-\dfrac{1}{2}x^2+x-\ln|x+1|+C$

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222-9+11+12:2*14+14 = ? ( )

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